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Finding the Fourth Proportional to 3,776.49, 5,202.09 and 3,608.82

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Solution

The fourth proportional to 3,776.49, 5,202.09 and 3,608.82 is: 4,971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.49 : 5,202.09 = 3,608.82 : x
  2. Step 2: Convert to fraction form
    3,776.49/5,202.09 = 3,608.82/x
  3. Step 3: Cross multiply
    3,776.49x = 5,202.09 × 3,608.82
  4. Step 4: Simplify right side
    3,776.49x = 18,773,406.43
  5. Step 5: Solve for x
    x = 18,773,406.43/3,776.49
  6. Step 6: Final answer
    x = 4,971.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.